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Finding the Fourth Proportional to 2,406.11, 3,609.40 and 1,000.24

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Solution

The fourth proportional to 2,406.11, 3,609.40 and 1,000.24 is: 1,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.11 : 3,609.40 = 1,000.24 : x
  2. Step 2: Convert to fraction form
    2,406.11/3,609.40 = 1,000.24/x
  3. Step 3: Cross multiply
    2,406.11x = 3,609.40 × 1,000.24
  4. Step 4: Simplify right side
    2,406.11x = 3,610,243.21
  5. Step 5: Solve for x
    x = 3,610,243.21/2,406.11
  6. Step 6: Final answer
    x = 1,500.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.